The model car is 1 foot high and 1.25 feet long. The actual car is 10 feet high and x feet long. Set up a proportion and solve for x. show your work please!
someone please help me
The ratio between height and length is the same on the model and the car.
Proportion is:
1 / 1.25 = 10 / x
Cross multiply:
x = 12.5 ft
To set up a proportion, we need to find the ratio of the corresponding dimensions between the model car and the actual car.
Let's assume x represents the length of the actual car.
The ratio of the heights between the model car and the actual car is:
Model Car Height/Actual Car Height = 1 foot/10 feet
The ratio of the lengths between the model car and the actual car is:
Model Car Length/Actual Car Length = 1.25 feet/x feet
We can set up the proportion as follows:
1 foot / 10 feet = 1.25 feet / x feet
To solve for x, we can cross-multiply:
1 foot * x feet = 1.25 feet * 10 feet
Simplifying this equation, we get:
x = (1.25 feet * 10 feet) / 1 foot
x = 12.5 feet
Therefore, the length of the actual car is 12.5 feet.